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Finding the Fourth Proportional to 24,348.76, 36,524.43 and 7,710.55

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Solution

The fourth proportional to 24,348.76, 36,524.43 and 7,710.55 is: 11,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348.76 : 36,524.43 = 7,710.55 : x
  2. Step 2: Convert to fraction form
    24,348.76/36,524.43 = 7,710.55/x
  3. Step 3: Cross multiply
    24,348.76x = 36,524.43 × 7,710.55
  4. Step 4: Simplify right side
    24,348.76x = 281,623,443.74
  5. Step 5: Solve for x
    x = 281,623,443.74/24,348.76
  6. Step 6: Final answer
    x = 11,566.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.